Least Common Multiple of 84/981, 378/523, 991/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/981, 378/523, 991/235 quickly i.e. 749196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/981, 378/523, 991/235 is 749196.

LCM(84/981, 378/523, 991/235) = 749196

LCM of 84/981, 378/523, 991/235

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 84/981,378/523,991/235

Given numbers are 84/981,378/523,991/235

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 84,378,991

Least Common Multiple of Numerators i.e. LCM of 84,378,991 is 749196.

GCF of Denominators means GCF of 981,523,235 as per the given fractions.

GCF of 981,523,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,378,991

LCM of Fractions 84/981,378/523,991/235 is 749196

2 84, 378, 991
3 42, 189, 991
7 14, 63, 991
2, 9, 991

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 9 x 991 = 749196

Least Common Multiple of 84,378,991 with GCF Formula

Least Common Multiple of 84,378,991 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 84,378,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,378,991) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(84,378,991) x common factors =1 x 42 = 42

LCM(84,378,991) = ( 84 × 378 × 991 ) / 42

LCM(84,378,991) = 31466232 / 42

LCM(84,378,991) = 749196


Lets's calculate GCF of 981,523,235

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749196/1

Therefore the LCM of Fractions 84/981,378/523,991/235 is 749196

Greatest Common Factor of 981,523,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,523,235 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 981,523,235 . The biggest common factor number is the GCF number.
So the greatest common factor 981,523,235 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 84/981, 378/523, 991/235

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 84/981, 378/523, 991/235?

Answer: LCM of Numerators as per given numbers 84/981, 378/523, 991/235 is

LCM of Numerators i.e. for 84,378,991 is 749196

GCF of denominators i.e. for 981,523,235 is 1.

Thus, LCM of Fractions is 749196.Finally, LCM of Fractions for 84/981, 378/523, 991/235 is 749196.